| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 18.6 | 18.7376335470085 | -0.137633547008548 |
| 14 | 18.4 | 18.4535110722611 | -0.0535110722610703 |
| 15 | 18.6 | 18.7535110722611 | -0.153511072261079 |
| 16 | 19.9 | 20.0743444055944 | -0.174344405594404 |
| 17 | 19.2 | 19.3326777389277 | -0.13267773892774 |
| 18 | 18.4 | 18.4660110722611 | -0.0660110722610696 |
| 19 | 21.1 | 20.9660110722611 | 0.133988927738926 |
| 20 | 20.5 | 21.8285110722611 | -1.32851107226108 |
| 21 | 19.1 | 20.1826777389277 | -1.08267773892774 |
| 22 | 18.1 | 17.3785110722611 | 0.721488927738928 |
| 23 | 17 | 16.4285110722611 | 0.571488927738926 |
| 24 | 17.1 | 15.7743444055944 | 1.32565559440559 |
| 25 | 17.4 | 16.8535110722611 | 0.54648892773892 |
| 26 | 16.8 | 17.2535110722611 | -0.453511072261065 |
| 27 | 15.3 | 17.1535110722611 | -1.85351107226108 |
| 28 | 14.3 | 16.7743444055944 | -2.4743444055944 |
| 29 | 13.4 | 13.7326777389277 | -0.332677738927739 |
| 30 | 15.3 | 12.6660110722611 | 2.63398892773893 |
| 31 | 22.1 | 17.8660110722611 | 4.23398892773893 |
| 32 | 23.7 | 22.8285110722611 | 0.871488927738923 |
| 33 | 22.2 | 23.3826777389277 | -1.18267773892774 |
| 34 | 19.5 | 20.4785110722611 | -0.978511072261071 |
| 35 | 16.6 | 17.8285110722611 | -1.22851107226107 |
| 36 | 17.3 | 15.3743444055944 | 1.92565559440559 |
| 37 | 19.8 | 17.0535110722611 | 2.74648892773892 |
| 38 | 21.2 | 19.6535110722611 | 1.54648892773893 |
| 39 | 21.5 | 21.5535110722611 | -0.053511072261081 |
| 40 | 20.6 | 22.9743444055944 | -2.3743444055944 |
| 41 | 19.1 | 20.0326777389277 | -0.93267773892774 |
| 42 | 19.6 | 18.3660110722611 | 1.23398892773893 |
| 43 | 23.4 | 22.1660110722611 | 1.23398892773892 |
| 44 | 24.3 | 24.1285110722611 | 0.171488927738928 |
| 45 | 24.1 | 23.9826777389277 | 0.11732226107226 |
| 46 | 22.8 | 22.3785110722611 | 0.421488927738928 |
| 47 | 22.5 | 21.1285110722611 | 1.37148892773893 |
| 48 | 23.8 | 21.2743444055944 | 2.52565559440559 |
| 49 | 24.9 | 23.5535110722611 | 1.34648892773892 |
| 50 | 25.2 | 24.7535110722611 | 0.446488927738933 |
| 51 | 24.3 | 25.5535110722611 | -1.25351107226108 |
| 52 | 22.8 | 25.7743444055944 | -2.9743444055944 |
| 53 | 20.7 | 22.2326777389277 | -1.53267773892774 |
| 54 | 19.8 | 19.9660110722611 | -0.166011072261067 |
| 55 | 22.5 | 22.3660110722611 | 0.133988927738923 |
| 56 | 22.6 | 23.2285110722611 | -0.628511072261073 |
| 57 | 22.5 | 22.2826777389277 | 0.217322261072258 |
| 58 | 21.8 | 20.7785110722611 | 1.02148892773893 |
| 59 | 21.2 | 20.1285110722611 | 1.07148892773893 |
| 60 | 20.6 | 19.9743444055944 | 0.625655594405593 |
| 61 | 19.9 | 20.3535110722611 | -0.45351107226108 |
| 62 | 18.7 | 19.7535110722611 | -1.05351107226107 |
| 63 | 17.6 | 19.0535110722611 | -1.45351107226108 |
| 64 | 16.4 | 19.0743444055944 | -2.6743444055944 |
| 65 | 15.9 | 15.8326777389277 | 0.0673222610722615 |
| 66 | 16.8 | 15.1660110722611 | 1.63398892773893 |
| 67 | 22.8 | 19.3660110722611 | 3.43398892773892 |
| 68 | 24 | 23.5285110722611 | 0.471488927738925 |
| 69 | 22.2 | 23.6826777389277 | -1.48267773892774 |
| 70 | 17.9 | 20.4785110722611 | -2.57851107226107 |
| 71 | 16 | 16.2285110722611 | -0.228511072261071 |
| 72 | 16 | 14.7743444055944 | 1.22565559440559 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 73 | 15.7535110722611 | 12.8422243219659 | 18.6647978225563 |
| 74 | 15.6070221445221 | 11.4898409382975 | 19.7242033507467 |
| 75 | 15.9605332167832 | 10.9180366498698 | 21.0030297836966 |
| 76 | 17.4348776223776 | 11.6123041217872 | 23.2574511229681 |
| 77 | 16.8675553613054 | 10.3577202856508 | 23.3773904369599 |
| 78 | 16.1335664335664 | 9.00239940041771 | 23.2647334667151 |
| 79 | 18.6995775058275 | 10.997036769349 | 26.4021182423061 |
| 80 | 19.4280885780886 | 11.1937261656394 | 27.6624509905378 |
| 81 | 19.1107663170163 | 10.3769060661307 | 27.844626567902 |
| 82 | 17.3892773892774 | 8.18298033647461 | 26.5955744420802 |
| 83 | 15.7177884615385 | 6.06214265367612 | 25.3734342694008 |
| 84 | 14.4921328671329 | 4.40713973330605 | 24.5771260009597 |
